Results 11 to 20 of about 52,441 (236)
Eisenstein series in string theory [PDF]
Classical and Quantum Gravity, 2000 We discuss the relevance of Eisenstein series for representing certain G(Z)-invariant string theory amplitudes which receive corrections from BPS states only. The Eisenstein series are constructed using G(Z)-invariant mass formulae and are manifestly invariant modular functions on the symmetric space K\G(R) of non-compact type, with K the maximal ...
Obers, Niels A., Pioline, Boris
openaire +7 more sources
Eisenstein Series and String Thresholds [PDF]
Communications in Mathematical Physics, 2000 Latex2e, 60 pages; v2: Appendix A.4 extended, 2 refs added, thms renumbered, plus minor corrections; v3: relation (1.7) to math Eis series clarified, eq (3.3) and minor typos corrected, final version to appear in Comm. Math.
Obers, N. A., Pioline, B.
openaire +7 more sources
An Electrochemical Study of Key Catalytically Active Gold Complexes. [PDF]
Angew Chem Int Ed EnglA systematic electrochemical investigation of Au(I) complexes sheds light on how ligand environments control gold oxidizability. Through cyclic voltammetry and density functional theory (DFT) analysis, key trends are established for phosphine, N‐heterocyclic carbene (NHC), and hemilabile P^N ligands, offering valuable insights into the design of ...
Baubiat E +4 more
europepmc +3 more sources
Fourier expansions of Kac-Moody Eisenstein series and degenerate Whittaker vectors [PDF]
, 2014 Motivated by string theory scattering amplitudes that are invariant under a discrete U-duality, we study Fourier coefficients of Eisenstein series on Kac-Moody groups. In particular, we analyse the Eisenstein series on $E_9(R)$, $E_{10}(R)$ and $E_{11}(R)
Fleig, Philipp +2 more
core +3 more sources
Zeros of some level 2 Eisenstein series [PDF]
, 2009 The zeros of classical Eisenstein series satisfy many intriguing properties. Work of F. Rankin and Swinnerton-Dyer pinpoints their location to a certain arc of the fundamental domain, and recent work by Nozaki explores their interlacing property. In this
Garthwaite, Sharon +3 more
core +5 more sources
Two string theory flavours of generalised Eisenstein series
Journal of High Energy Physics, 2023 Generalised Eisenstein series are non-holomorphic modular invariant functions of a complex variable, τ, subject to a particular inhomogeneous Laplace eigenvalue equation on the hyperbolic upper-half τ-plane.
Daniele Dorigoni, Rudolfs Treilis
doaj +1 more source
Effective Lower Bounds for L(1,{\chi}) via Eisenstein Series [PDF]
, 2016 We give effective lower bounds for $L(1,\chi)$ via Eisenstein series on $\Gamma_0(q) \backslash \mathbb{H}$. The proof uses the Maass-Selberg relation for truncated Eisenstein series and sieve theory in the form of the Brun-Titchmarsh inequality.
Humphries, Peter
core +2 more sources
Algorithms and tools for iterated Eisenstein integrals
Journal of High Energy Physics, 2020 We present algorithms to work with iterated Eisenstein integrals that have recently appeared in the computation of multi-loop Feynman integrals. These algorithms allow one to analytically continue these integrals to all regions of the parameter space ...
Claude Duhr, Lorenzo Tancredi
doaj +1 more source
Relation between Borweins’ Cubic Theta Functions and Ramanujan’s Eisenstein Series
Journal of Applied Mathematics, 2021 Two-dimensional theta functions were found by the Borwein brothers to work on Gauss and Legendre’s arithmetic-geometric mean iteration. In this paper, some new Eisenstein series identities are obtained by using (p, k)-parametrization in terms of Borweins’
B. R. Srivatsa Kumar +2 more
doaj +1 more source
Schubert Eisenstein Series [PDF]
American Journal of Mathematics, 2014 We define Schubert Eisenstein series as sums like usual Eisenstein series but with the summation restricted to elements of a particular Schubert cell, indexed by an element of the Weyl group. They are generally not fully automorphic. We will develop some results and methods for ${\rm GL}_3$ that may be suggestive about the general case.
Bump, D, Choie, Y
openaire +2 more sources